Pith Number

pith:HEPACIVV

pith:2017:HEPACIVVRG4AT7UCTQ26QGQ4EV

not attested not anchored not stored refs pending

The perimeter of uniform and geometric words: a probabilistic analysis

Guy Louchard

arxiv:1708.06083 v3 · 2017-08-21 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HEPACIVVRG4AT7UCTQ26QGQ4EV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:16:08.780936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

391e0122b589b809fe829c35e81a1c254181d9d577a1c1b133085a8a14af74ac

Aliases

arxiv: 1708.06083 · arxiv_version: 1708.06083v3 · doi: 10.48550/arxiv.1708.06083 · pith_short_12: HEPACIVVRG4A · pith_short_16: HEPACIVVRG4AT7UC · pith_short_8: HEPACIVV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HEPACIVVRG4AT7UCTQ26QGQ4EV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 391e0122b589b809fe829c35e81a1c254181d9d577a1c1b133085a8a14af74ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fecff70de18f810fab9abc2c12418fdcb80ae5dc28e30b1f2be048e10c9df1d0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-21T05:46:11Z",
    "title_canon_sha256": "5766bdb1f821e82ce6668cfc4ed8ba875681bc559bf044d63f364e7ba231b648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06083",
    "kind": "arxiv",
    "version": 3
  }
}